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Finding the Third Proportional to 2,953,062 and 6,315,606

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Solution

The third proportional to 2,953,062 and 6,315,606 is: 13,506,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953,062 : 6,315,606 = 6,315,606 : x
  2. Step 2: Convert to fraction form
    2,953,062/6,315,606 = 6,315,606/x
  3. Step 3: Cross multiply
    2,953,062x = 6,315,606 × 6,315,606
  4. Step 4: Simplify right side
    2,953,062x = 39,886,879,147,236
  5. Step 5: Solve for x
    x = 39,886,879,147,236/2,953,062
  6. Step 6: Final answer
    x = 13,506,956.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.